If it is a one-level maze and the exit and the entrance are on a perminter wall, then the solution is to hug one wall (either the left or right) from the entrance to the exit.
If the maze is more than one level, or the exit or entrance is not on a perimiter wall, then the solution isn't guaranteed. If you can simulate purely random decisions at each intersection, you'll eventually reach the exit.

Oh hell yeah. I've been playing role playing games and dungeon crawlers for years, and it built a compass in my head. When I play video games that include labyrinth like dungeons, I barely ever use whatever compass like feature or onscreen maps that the game may offer.
Of course I refer to it every now and then, but heck a lot of dungeon crawlers like to include parts of some dungeons that are unlit, and you navigate it in the dark, and I map it all in my head, at least, temporarily, until I get out, or progress forth.
Phantasy Star-no graph paper for me. *Sheepish smile.*

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